SOLUTION: A perfect sphere with a volume of 288π cubic inches is flattened into a perfect circle. What is the circumference of the resulting circle? A)6π B)12π C)24π D)36π'

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Question 1142096: A perfect sphere with a volume of 288π cubic inches is flattened into a perfect circle. What is the circumference of the resulting circle?
A)6π
B)12π
C)24π
D)36π'

Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your first step is to find the radius of the sphere.


    %284%2F3%29%2Api%2Ar%5E3 = 288 cubic inches  ====>


    %284%2F3%29%2Ar%5E3 = 288


    r%5E3 = %283%2F4%29%2A288 = 216


    r = root%283%2C+216%29 = 6.


Then the circumference under the question is  2%2Api%2Ar = 2%2Api%2A6 = 12%2Api.    ANSWER



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A perfect sphere with a volume of 288π cubic inches is flattened into a perfect circle. What is the circumference of the resulting circle?
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How would you "flatten a sphere?"
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Asking for the circumference of the "equator" would make more sense.
Or the circumference of a circle with its center at the center of the sphere.